6972910953129 has 189 divisors, whose sum is σ = 12230514840999. Its totient is φ = 3969813006720.

The previous prime is 6972910953109. The next prime is 6972910953187. The reversal of 6972910953129 is 9213590192796.

The square root of 6972910953129 is 2640627.

It is a perfect power (a square), and thus also a powerful number.

6972910953129 is a `hidden beast` number, since 6 + 9 + 7 + 2 + 91 + 0 + 9 + 531 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5428736901225 + 1544174051904 = 2329965^2 + 1242648^2 .

It is not a de Polignac number, because 6972910953129 - 2¹⁷ = 6972910822057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6972910953109) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 13332525462 + ... + 13332525984.

Almost surely, 2^{6972910953129} is an apocalyptic number.

6972910953129 is the 2640627-th square number.

6972910953129 is the 1320314-th centered octagonal number.

It is an amenable number.

6972910953129 is a deficient number, since it is larger than the sum of its proper divisors (5257603887870).

6972910953129 is an frugal number, since it uses more digits than its factorization.

6972910953129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 6972910953129 in words is "six trillion, nine hundred seventy-two billion, nine hundred ten million, nine hundred fifty-three thousand, one hundred twenty-nine".